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Finding the Third Proportional to 172,999.13 and 374,428.97

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Solution

The third proportional to 172,999.13 and 374,428.97 is: 810,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,999.13 : 374,428.97 = 374,428.97 : x
  2. Step 2: Convert to fraction form
    172,999.13/374,428.97 = 374,428.97/x
  3. Step 3: Cross multiply
    172,999.13x = 374,428.97 × 374,428.97
  4. Step 4: Simplify right side
    172,999.13x = 140,197,052,639.19
  5. Step 5: Solve for x
    x = 140,197,052,639.19/172,999.13
  6. Step 6: Final answer
    x = 810,391.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.